Input-Output Stability of Networked Control Systems With Stochastic Protocols and Channels
This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies d...
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| Published in: | IEEE transactions on automatic control Vol. 53; no. 5; pp. 1160 - 1175 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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New York, NY
IEEE
01.06.2008
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9286, 1558-2523 |
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| Abstract | This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for L P stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nesic and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein. |
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| AbstractList | This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for L@@dP@ stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nesic and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein. This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform persistency of excitation of protocols first presented in the Proceedings of the 44th IEEE Conference on Decision and Control. Our framework applies directly to common wireless and wireline NCS, including those built on carrier-sense multiple access (CSMA) style protocols, with Ethernet and 802.11a/b/g as prime examples of this class. We present conditions for a general class of nonlinear NCS with exogenous disturbances using stochastic protocols in the presence of packet dropouts, random packet transmission times and collisions that are sufficient for L P stability from exogenous disturbance to NCS state with a linear finite expected gain. Within the same framework, we extend the results of Nesic and Teel (see IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004) to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004 to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of random packet dropouts and intertransmission times and provide a stochastic analog of the Lyapunov-theoretic stability properties for network protocols introduced therein. |
| Author | Tabbara, M. Nesic, D. |
| Author_xml | – sequence: 1 givenname: M. surname: Tabbara fullname: Tabbara, M. organization: Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Parkville, VIC – sequence: 2 givenname: D. surname: Nesic fullname: Nesic, D. organization: Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Parkville, VIC |
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| Cites_doi | 10.1007/s11134-005-1450-0 10.1109/9.935062 10.1109/TAC.2004.835360 10.1109/TAC.2007.904473 10.1109/37.898794 10.1109/ACC.2000.878600 10.1109/37.898792 10.1109/41.954551 10.1109/ACC.1999.786599 10.1109/ACC.1998.703059 10.1109/CDC.1999.830133 10.1109/CDC.2005.1582156 10.1017/CBO9780511813603 10.1007/978-1-4757-3290-0 10.1109/CDC.2002.1184679 |
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| Keywords | Multiple access Packet switching Input-output stability Probabilistic approach Networked control systems (NCS) Collision Transmission protocol Lyapunov method Distributed system Stochastic system Transmission time Uncertain system Analog Ethernet Distributed control Network protocol stochastic systems Stochastic control Wireless network Access protocol protocols Deterministic approach Lyapunov function |
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| Snippet | This paper introduces a new definition of stochastic protocols for networked control systems (NCS) and the stochastic analog of the notion of uniform... Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004 to provide an analysis of deterministic protocols, including try-once-discard (TOD), in the presence of... |
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| SubjectTerms | Access protocols Applied sciences Computer science; control theory; systems Computer systems and distributed systems. User interface Control systems Control theory. Systems Ethernet networks Exact sciences and technology Gain Multiaccess communication Networked control systems Networked control systems (NCS) Process control. Computer integrated manufacturing protocols Software Stability Stochastic processes Stochastic systems Studies Wireless application protocol |
| Title | Input-Output Stability of Networked Control Systems With Stochastic Protocols and Channels |
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